This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the solution to the problem: (1)/(4) - (2)/(3) + (4)/(6) Step 1: Find the least common denominator (LCD) for the denominators 4, 3, and 6. The multiples of 4 are 4, 8, 12, 16... The multiples of 3 are 3, 6, 9, 12, 15... The multiples of 6 are 6, 12, 18... The LCD is 12. Step 2: Convert each fraction to an equivalent fraction with a denominator of 12. (1)/(4) = (1 × 3)/(4 × 3) = (3)/(12) (2)/(3) = (2 × 4)/(3 × 4) = (8)/(12) (4)/(6) = (4 × 2)/(6 × 2) = (8)/(12) Step 3: Rewrite the expression with the equivalent fractions. (3)/(12) - (8)/(12) + (8)/(12) Step 4: Perform the operations from left to right. First, subtract. (3 - 8)/(12) + (8)/(12) = (-5)/(12) + (8)/(12) Step 5: Add the fractions. (-5 + 8)/(12) = (3)/(12) Step 6: Simplify the resulting fraction. (3)/(12) = (1)/(4) The final answer is (1)/(4).